Lagrange's notation represents the derivative of a function with an apostrophe () after the function. For the function the derivative can be written using Lagrange's notation as follows

Lagrange's notation can also be generalized for algebra by treating the apostrophe () as an operator. For example given the algebra Lagrange's notation can represent the derivative as follows

Higher Order Derivatives

Lagrange's notation for higher order derivatives is as follows

For the first 3 derivatives

• First Derivative -
• Second Derivative -
• Third Derivative -

For derivatives after the 3 derivative the derivative is denoted as . For example the 15 derivative would be denoted as .

The same rules as with the first order derivative apply meaning this can be treated as an operation and performed on some algebra for example the 3 derivative of some algebra for example could be denoted as